The mean of nine observations was found to be 35. Later on , it was discovered that an observation 81 was misread as 18 . Find the correct mean of the observations .
Answers
Answer:
Mean of 9 observations = 35 (Given)
Sum of 9 observations = 35×9
Sum of 9 observations =315
since 81 was misread as 18
Then, sum of new observations =[315- (wrong observation)+(correct observation)]
= 315-18+81
= 315+63= 378
The correct mean = some of new observation/total number of observations
Correct mean= 378/9= 42
Hence, the correct mean is 42.
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Step-by-step explanation:
Given : Mean of 9 observation was found to be 35
Later on it was found that 81 was mis read as 18
To Find : Correct mean
Solution:
Short cut method :
81 was mis read as 18
Hence correction will be 81 - 18 = 63
Observation were 9
hence mean correction = 63/9 = 7
Earlier mean = 35
Correct Mean = 35 + 7 = 42
Detailed method :
Mean of 9 observation was found to be 35
Hence sum = 9 * 35 = 315
81 was mis read as 18
Hence correct total = 315 - 18 + 81 = 378
Correct mean = 378/9 = 42
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